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Which of the following is a factor of 15 + 7x – 2×2

Which of the following is a factor of 15 + 7x – 2x2
  • A.
    x + 3
  • B.
    x – 3
  • C.
    x – 5
  • D.
    x + 5
Correct Answer: Option C
Explanation

Factorize 15 + 7x – 2x2
(5 – x)(3 + 2x); suppose 15 + 7x = 2x2 = 0
∴ (5 – x)(3 + 2x) = 0
x = 5 or x = -(frac{3}{2})
Since 5 is a root, then (x – 5) is a factor

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